Details

Time bar (total: 3.9s)

sample50.0ms

Algorithm
intervals
Results
20.0ms50×body1280valid
9.0ms38×body640valid
7.0ms143×body80valid
3.0ms15×body320valid
1.0ms10×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1154
2154

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x (sin y)) (* z (cos y)))
0.1b
(* x (sin y))
0.2b
(* z (cos y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
3×expm1-log1p-u log1p-expm1-u
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative fma-def flip3-+ sum-log flip-+
Counts
3 → 54
Calls
3 calls:
3.0ms
(+ (* x (sin y)) (* z (cos y)))
3.0ms
(* x (sin y))
3.0ms
(* z (cos y))

series153.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(+ (* x (sin y)) (* z (cos y)))
37.0ms
(* x (sin y))
41.0ms
(* z (cos y))

simplify77.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0197270
1757245
22524245
35001244

prune162.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma (cos y) z (* x (sin y)))
0.1b
(* x (sin y))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma (cos y) z (* x (sin y)))
4.0ms
(* x (sin y))

series117.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(fma (cos y) z (* x (sin y)))
42.0ms
(* x (sin y))

simplify41.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
0101155
1347136
21297135
35002134

prune102.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series448.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
95.0ms
(cbrt (cos y))
96.0ms
(cbrt (cos y))
99.0ms
(cbrt (cos y))

simplify107.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0128471
1500419
23232387
35002381

prune285.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.2b
(pow (cos y) 2)
0.3b
(cbrt (pow (cos y) 2))
0.3b
(cbrt (cos y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
6×unpow-prod-down associate-*r* add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow pow-prod-down prod-exp cbrt-unprod
2×pow1/3 unpow2 sqr-pow
1×pow-to-exp pow-pow associate-*l* pow-exp *-commutative
Counts
4 → 74
Calls
4 calls:
13.0ms
(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
1.0ms
(pow (cos y) 2)
1.0ms
(cbrt (pow (cos y) 2))
1.0ms
(cbrt (cos y))

series318.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (* z (cbrt (pow (cos y) 2))) (cbrt (cos y)))
16.0ms
(pow (cos y) 2)
161.0ms
(cbrt (pow (cos y) 2))
101.0ms
(cbrt (cos y))

simplify41.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0244457
11098397
25001378

prune249.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes102.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01912
11912

end0.0ms

sample1.5s

Algorithm
intervals
Results
639.0ms1584×body1280valid
311.0ms1232×body640valid
245.0ms4272×body80valid
102.0ms603×body320valid
48.0ms309×body160valid